BabyShowersByMail - Shower baby with gifts they can really use. We have pre-selected baby gift packages that contain diapers and wipes along with other great products such as books, lotions, toys, and luxurious blankets. Or if you prefer, you can choose to send the new parents diapers by the month. We make our monthly diaper delivery service affordable by offering a “pay by the month” option, or earn a free gift by pre-paying for the full year in advance.